Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 637, 916, 941, 508 i.e. 1 largest integer that divides all the numbers equally.
GCD of 637, 916, 941, 508 is 1
GCD(637, 916, 941, 508) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 637, 916, 941, 508 is 1
GCD(637, 916, 941, 508) = 1
Given Input numbers are 637, 916, 941, 508
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 941
List of positive integer divisors of 941 that divides 941 without a remainder.
1, 941
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Greatest Common Divisior
We found the divisors of 637, 916, 941, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 916, 941, 508 is 1.
Therefore, GCD of numbers 637, 916, 941, 508 is 1
Given Input Data is 637, 916, 941, 508
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 941 is 941
Prime Factorization of 508 is 2 x 2 x 127
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(637, 916) = 583492
GCD(637, 916) = ( 637 x 916 ) / 583492
GCD(637, 916) = 583492 / 583492
GCD(637, 916) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 941
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 941) = 941
GCD(1, 941) = ( 1 x 941 ) / 941
GCD(1, 941) = 941 / 941
GCD(1, 941) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 508
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 508) = 508
GCD(1, 508) = ( 1 x 508 ) / 508
GCD(1, 508) = 508 / 508
GCD(1, 508) = 1
GCD of 637, 916, 941, 508 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 637, 916, 941, 508?
GCD of 637, 916, 941, 508 is 1
2. Where do I get the detailed procedure to find GCD of 637, 916, 941, 508?
You can find a detailed procedure to find GCD of 637, 916, 941, 508 on our page.
3. How to find GCD of 637, 916, 941, 508 on a calculator?
You can find the GCD of 637, 916, 941, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.